High-Temperature Dynamics of Spin Glasses

Michiko Yamana; Hidetoshi Nishimori; Tadashi Kadowaki; D. Sherrington

doi:10.1143/JPSJ.66.1962

High-Temperature Dynamics of Spin Glasses

Michiko Yamana, Hidetoshi Nishimori, Tadashi Kadowaki, D. Sherrington

INF - Applied Information Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional ±J model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master equation using a high temperature expansion. We calculate the expectation values of physical quantities from the dynamical probability distribution function. The theoretical curves show satisfactory agreement with Monte Carlo simulation results in the appropriate temperature and time regions. A comparison is made with the results of a dynamics theory by Coolen, Laughton and Sherrington.

Original language	English
Pages (from-to)	1962-1975
Number of pages	14
Journal	journal of the physical society of japan
Volume	66
Issue number	7
DOIs	https://doi.org/10.1143/JPSJ.66.1962
Publication status	Published - 1997 Jul

Keywords

CLS theory
Dynamical probability distribution function
Dynamics
High-temperature expansion
SK model
±J model

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1143/JPSJ.66.1962

Fingerprint Dive into the research topics of 'High-Temperature Dynamics of Spin Glasses'. Together they form a unique fingerprint.

Cite this

@article{4ecfc57450d5469ea66407a9c1236a6b,

title = "High-Temperature Dynamics of Spin Glasses",

abstract = "We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional ±J model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master equation using a high temperature expansion. We calculate the expectation values of physical quantities from the dynamical probability distribution function. The theoretical curves show satisfactory agreement with Monte Carlo simulation results in the appropriate temperature and time regions. A comparison is made with the results of a dynamics theory by Coolen, Laughton and Sherrington.",

keywords = "CLS theory, Dynamical probability distribution function, Dynamics, High-temperature expansion, SK model, ±J model",

author = "Michiko Yamana and Hidetoshi Nishimori and Tadashi Kadowaki and D. Sherrington",

year = "1997",

month = jul,

doi = "10.1143/JPSJ.66.1962",

language = "English",

volume = "66",

pages = "1962--1975",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "7",

}

TY - JOUR

T1 - High-Temperature Dynamics of Spin Glasses

AU - Yamana, Michiko

AU - Nishimori, Hidetoshi

AU - Kadowaki, Tadashi

AU - Sherrington, D.

PY - 1997/7

Y1 - 1997/7

N2 - We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional ±J model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master equation using a high temperature expansion. We calculate the expectation values of physical quantities from the dynamical probability distribution function. The theoretical curves show satisfactory agreement with Monte Carlo simulation results in the appropriate temperature and time regions. A comparison is made with the results of a dynamics theory by Coolen, Laughton and Sherrington.

AB - We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional ±J model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master equation using a high temperature expansion. We calculate the expectation values of physical quantities from the dynamical probability distribution function. The theoretical curves show satisfactory agreement with Monte Carlo simulation results in the appropriate temperature and time regions. A comparison is made with the results of a dynamics theory by Coolen, Laughton and Sherrington.

KW - CLS theory

KW - Dynamical probability distribution function

KW - Dynamics

KW - High-temperature expansion

KW - SK model

KW - ±J model

UR - http://www.scopus.com/inward/record.url?scp=0031488229&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031488229&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.66.1962

DO - 10.1143/JPSJ.66.1962

M3 - Article

AN - SCOPUS:0031488229

VL - 66

SP - 1962

EP - 1975

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 7

ER -